Using the software or coding language of your choice (maple, matlab etc), execute the commands to: 1) Create a (10x10) matrix A. 2) Create a vector of length 10, �"⃗. 3) Solve A�⃗ = �"⃗. 4) Factorize A with LU. 5) Solve A�⃗ = �"⃗ with the LU method. 6) With the values of L and U that you have found in 4), verify by showing the steps, the LU solution method agrees with the result of 5). Solve A�⃗ = �"⃗ by LU method, steps by steps, (as learnt in class) and compare it to the solution of 5). 7) Calculate A5 . 8) Calculate A5 by diagonalization. Show each step involved in the calculation. Do not use a ‘diagonalization command’ if it exist to find A5 . Show the commands and results with the report along with comments if necessary